213765641001 has 32 divisors (see below), whose sum is σ = 346913466240. Its totient is φ = 129017318400.

The previous prime is 213765640997. The next prime is 213765641017. The reversal of 213765641001 is 100146567312.

213765641001 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 6 + 5 + 641 + 0 + 0 + 1 = 666.

213765641001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213765641001 - 2² = 213765640997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213765541001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1421680 + ... + 1564833.

It is an arithmetic number, because the mean of its divisors is an integer number (10841045820).

Almost surely, 2^213765641001 is an apocalyptic number.

It is an amenable number.

213765641001 is a deficient number, since it is larger than the sum of its proper divisors (133147825239).

213765641001 is a wasteful number, since it uses less digits than its factorization.

213765641001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986774 (or 2986768 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 213765641001 in words is "two hundred thirteen billion, seven hundred sixty-five million, six hundred forty-one thousand, one".